DWI – Leibniz Institute for Interactive Materials
Publikationsserver der RWTH Aachen UniversityNot a member yet
552398 research outputs found
Sort by
On Technological and Innovation Sovereignty: A Response to Carl Mitcham’s Call for a Political Theory of Technology
No full textEntwicklung von Demand Response Szenarien zur Nutzung von industrieller Abwärme im Gebäudesektor
No full textMikrobiologische Verunreinigung von Flüssigkeitsproben und angiographischen Materialien bei neurovaskulären Angiographien
No full text
Novel uniaxial and biaxial reverse experiments for material parameter identification in an advanced anisotropic cyclic plastic-damage model
No full textA novel concept for self-healing metallic structural materials: Internal soldering of damage using low melting eutectics
No full textPolytopal mixed finite elements for nearly-incompressible finite elasticity : discretization, approximation, stabilization
No full textThis dissertation addresses the development and stability of polytopal finite element formulations in structural analysis. It focuses particularly on nearly-incompressible problems and contains finite strain applications. The first part of the thesis is concerned with the construction of two novel finite element formulations based on the scaled boundary parameterization. A low-order polygonal mixed displacement-pressure formulation is presented, which mitigates volumetric locking on arbitrary polygonal discretizations, such as Voronoi meshes. Additionally, a novel isoparametric framework for polygons is presented, facilitating the construction of linear complete interpolation functions on arbitrary polygonal parametric domains. The interpolants avoid the need for additional interior degrees-of-freedom and improve the accuracy of the solution in the radial direction. The second part of this thesis investigates the well-posedness of polytopal mixed displacement-pressure formulations, focusing on the inf-sup stability and consequently, the possible appearance of spurious pressure oscillations in the solution. The stability analysis in 2D reveals that the properties of non-degenerate Voronoi meshes can be employed to suppress spurious pressure modes. An extension of this mesh topology-based stabilization technique to 3D finite elasticity is presented. Throughout the thesis, it is shown that Voronoi meshes can contribute to an increase in accuracy and to the stabilization of mixed finite element formulations for nearly-incompressible problems in nonlinear structural analysis
